Results 21 to 30 of about 4,613,210 (206)
BMO Spaces on Weighted Homogeneous Trees [PDF]
The Journal of Geometric Analysis, 2020 We consider an infinite homogeneous tree $\mathcal V$ endowed with the usual metric $d$ defined on graphs and a weighted measure $ $. The metric measure space $(\mathcal V,d, )$ is nondoubling and of exponential growth, hence the classical theory of Hardy and $BMO$ spaces does not apply in this setting.
Arditti L., Tabacco A., Vallarino M.
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$BMO$ Spaces for Laguerre Expansions [PDF]
Taiwanese Journal of Mathematics, 2012 Let $\{\varphi_n^{\alpha}\}_{n\in \mathbb{N}}$ be the Laguerre functions of Hermite type with index $\alpha$. These are eigenfunctions of the Laguerre differential operator $L_\alpha=\dfrac{1}{2}(-\frac{d^2}{dy^2}+y^2+\frac{1}{y^2}(\alpha^2-\frac{1}{4}))$.
Cha, Li, Liu, Heping
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A Characterization of Central BMO Space via the Commutator of Fractional Hardy Operator
, 2020 This paper is devoted in characterizing the central BMO space via the commutator of the fractional Hardy operator with rough kernel. Precisely, by a more explicit decomposition of the operator and the kernel function, we will show that if the symbol ...
Lei Zhang, S. Shi
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The BMO-Dirichlet problem for elliptic systems in the upper half-space and quantitative characterizations of VMO [PDF]
Analysis & PDE, 2016 We prove that for any homogeneous, second order, constant complex coefficient elliptic system $L$, the Dirichlet problem in $\mathbb{R}^{n}_{+}$ with boundary data in BMO is well-posed in the class of functions $u$ with $d\mu_u(x',t):=|\nabla u(x',t)|^2\,
J. M. Martell +3 more
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Upper Bound for Multi-parameter Iterated Commutators [PDF]
, 2015 We show that the product BMO space can be characterized by iterated commutators of a large class of Calder\'on-Zygmund operators. This result follows from a new proof of boundedness of iterated commutators in terms of the BMO norm of their symbol ...
Dalenc, Laurent, Ou, Yumeng
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BMO and Teichmüller space [PDF]
Annales Academiae Scientiarum Fennicae Series A I Mathematica, 1989 The author has as his main theme the dependence of solutions to the Beltrami equation (*) \(F_{\bar z}=\mu F_ z\) and connections to Teichmüller theory and harmonic analysis.
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BMO is the intersection of two translates of dyadic BMO [PDF]
, 2003 Let T be the unite circle on $R^2$. Denote by BMO(T) the classical BMO space and denote by BMO_D(T) the usual dyadic BMO space on T.
Mei, Tao
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Erdélyi-Kober fractional integrals on Hardy space and BMO
, 2020 The mapping properties of the multi. Erdelyi- Kober fractional integral operators on Hardy space and BMO. In particular, our main result gives the boundedness of the Erdelyi-Kober fractional integrals, the hypergeometric fractional integrals and the two ...
K. Ho
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Hardy and BMO spaces on Weyl chambers
Forum Mathematicum, 2023 Abstract Let W be a finite reflection group associated with a root system R in ℝ d {\mathbb{R}^{d}}
Paweł Plewa, Krzysztof Stempak
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Large BMO spaces vs interpolation [PDF]
Analysis & PDE, 2015 In this paper we introduce a class of BMO spaces which interpolate with $L_p$ and are sufficiently large to serve as endpoints for new singular integral operators. More precisely, let $( , , )$ be a $ $-finite measure space. Consider two filtrations of $ $ by successive refinement of two atomic $ $-algebras $ _\mathrm{a}, _\mathrm{b}$ having
Conde-Alonso, Jose +2 more
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